7 papers
Characterizing property (NL) in {C}oxeter groups
Sahana Balasubramanya, Rachel Niebler, Roberta Shapiro
A group has Property (NL) -- which stands for ``no loxodromics" -- if no element of the group acts loxodromically on any hyperbolic space. In this brief note, we provide a complete…
Hyperbolic actions of Thompson's group and generalizations
Sahana Balasubramanya, Francesco Fournier-Facio, Matthew C. B. Zaremsky
We study the poset of hyperbolic structures on Thompson's group and its generalizations for . The global structure of this poset is as simple as one would expec…
Stable subgroups of graph products
Sahana H Balasubramanya, Marissa Chesser, Alice Kerr +2
We extend the characterization of stable subgroups of right-angled Artin groups of Koberda, Mangahas and Taylor to the case of graph products of infinite groups. Specifically, we s…
The semi-simple theory of higher rank acylindricity
Sahana Balasubramanya, Talia Fernos
We present a new notion of non-positively curved groups: the collection of discrete countable groups acting (AU-)acylindrically on finite products of -hyperbolic spaces with ge…
Acylindricity in Higher Rank, Part I : Fundamentals
Sahana Balasubramanya, Talia Fernos
We present a new notion of non-positively curved groups: the collection of discrete countable groups acting (AU-)acylindrically on finite products of -hyperbolic spaces with ge…
(Non-)Recognizing Spaces for Stable Subgroups
Sahana Balasubramanya, Marissa Chesser, Alice Kerr +2
In this note, we consider the notion of what we call recognizing spaces for stable subgroups of a given group. When a group is a mapping class group or right-angled Artin group…